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Solve the Equation (X in Radians And θ\boldsymbol { \theta }

Question 27

Multiple Choice

Solve the equation (x in radians and θ\boldsymbol { \theta } in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.
- 4csc2θ=5cscθ4 \csc ^ { 2 } \theta = 5 \csc \theta


A) {0+360n,53.1+360n,126.9+360n,180+360n}\left\{ 0 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 53.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 126.9 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 180 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}
B) {0+360n,53.1+360n,126.9+360n,233.1+360n}\left\{ 0 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 53.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 126.9 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 233.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}
C) {53.1+360n,126.9+360n}\left\{ 53.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 126.9 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}
D) {0+360n,53.1+360n,126.9+360n}\left\{ 0 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 53.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 126.9 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}

Correct Answer:

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